{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "939644b5",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import datasets # 导入数据集\n",
    "iris = datasets.load_iris() # 加载数据\n",
    "X = iris.data # 特征\n",
    "y = iris.target # 标签"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "cf448561",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA # 导入PCA算法\n",
    "pca = PCA(n_components=2) # 初始化模型\n",
    "X_r = pca.fit(X).transform(X) # 进行数据降维"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "87fbc4ee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "target_names = iris.target_names\n",
    "colors = [\"navy\", \"turquoise\", \"darkorange\"]\n",
    "for color, i, target_name in zip(colors, [0, 1, 2], target_names):\n",
    "    plt.scatter(\n",
    "        X_r[y == i, 0], X_r[y == i, 1], color=color, alpha=0.8, lw=2, label=target_name\n",
    "    )\n",
    "plt.legend(loc=\"best\", shadow=False, scatterpoints=1)\n",
    "plt.figure()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8613f8ec",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
